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Time Dilation? - Thought Experiment (Proof)

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Apr 16, 2018
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What is Time Dilation? In one of the most fascinating predictions of Special Theory of Relativity (STR), we see how the postulate of the constancy of speed of light shows that time measured by two different observers must be different. SupportπŸ’–https://www.patreon.com/dibyajyotidas Donate 🌷 https://paypal.me/FortheLoveofPhysics RELATIVITY OF TIME : In Newtonian or Classical Physics, time is considered to be absolute or independent of the observer (or reference frame). It means the measurement of time should be same for everyone. However Special Relativity challenges this idea of absolute time. According to STR time is neither absolute nor independent of the reference frame; rather it is very much dependent on the relative motion of the observer and the clock in which the physical events are taking place. GEDANKEN EXPERIMENT / THOUGHT EXPERIMENT: Such a radical idea of the relativity can also be proved with a very SIMPLE THOUGHT EXPERIMENT. Imagine a train moving with uniform velocity. Inside it, there is a setup of bulb (that can emit a photon and detector). As the bulb emits a light photon, it travels a certain distance to reach the detector. We can try to calculate the time taken by the light photon to reach the detector (a) from inside the train frame of reference, and (b) from an observer on the platform. The path lengths in both cases will be different due to the relative motion, and hence the time measured will be different (since speed of light remains constant). The time measured in a moving frame as compared to a rest frame will appear dilated, or stretched out. This is call Time Dilation. It simply means time as measured from a moving frame runs slower as compared to a rest frame of reference. 𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬 Your financial support provides me an additional incentive to create high quality lecture videos. I am very much thankful for your generosity and kindness Support in Patreon ❀️❀️❀️https://www.patreon.com/dibyajyotidas Donate in Paypal πŸ”₯πŸ”₯πŸ”₯ https://paypal.me/FortheLoveofPhysics JOIN as a member in Youtube πŸ˜‡πŸ˜‡πŸ˜‡ https://www.youtube.com/channel/UCOfLm6gZGt3vwTMKRg-irhg/join 𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬 PLAYLIST ON Special Theory of Relativity https://youtube.com/playlist?list=PLRN3HroZGu2nqysla3fazpMbEprTGTZx3 ----------------------------------------------------- 1. History of Special Relativity β–Ί https://youtu.be/P79Ur8LVcy8 2. Michelson Morley Experiment β–Ί https://youtu.be/FQGGSNIWm3o 3. Special Theory of Relativity β–Ί https://youtu.be/RYIY4APbV5Q 4. Time Dilation (Thought Exp) β–Ί https://youtu.be/lBiAE4Lxy8g 5. Length Contraction (Thought Exp) β–Ί https://youtu.be/Ajjf_rIufb0 6. Lorentz Transormations β–Ί https://youtu.be/6pj1f8x3APg 7. Relativity of Simultaneity β–Ί https://youtu.be/vOSIGViCT-s 8. Can you prove E=MCΒ² β–Ί https://youtu.be/VZEhmWFlrnM ----------------------------------------------------- 9. Special Theory of Relativity β–Ί https://youtu.be/OqhsiylAsFI 10. Length Contraction β–Ί https://youtu.be/mMXa0OwFzWQ 11. Length Contraction of Inclined Rod β–Ί https://youtu.be/D53-VROc01A 12. Time Dilation β–Ί https://youtu.be/wIS-LvdsAzg 13. Muon Decay Experiment β–Ί https://youtu.be/b-cdKCYX5ZA 14. Relativistic Velocity Transformations β–Ί https://youtu.be/e21RCw8GRjM 15. Speed of light in moving medium β–Ί https://youtu.be/WQfqHDsHAZM 16. Relativistic Doppler Effect β–Ί https://youtu.be/d6ieu0Z8gAo 17. Relativistic Mass? β–Ί https://youtu.be/YaaiPQ_nlyM 18. Relativistic Kinetic Energy β–Ί https://youtu.be/TwKSGVKfIXw 19. Relativistic Force β–Ί https://youtu.be/fYfdIs7GMrI 20. Relativistic Energy & Momentum β–Ί https://youtu.be/X4xLx8fxdy4 21. Magnetism arises from Relativity β–Ί https://youtu.be/WwzB1JvsyYc 22. GATE Physics question β–Ί https://youtu.be/lUPZYVCHR_E 23. TIFR Physics question β–Ί https://youtu.be/L9lKOzCX-Qs 24. Question on Volume contraction β–Ί https://youtu.be/FTtxLmwOnmM 25. JEST Physics question β–Ί https://youtu.be/bfO0U_SbUyo 26. NET Physics question β–Ί https://youtu.be/PQaaNbXau3c 27. Spacetime Invariant Interval β–Ί https://youtu.be/Fr_3QdSlimw 28. Minkowski Spacetime β–Ί https://youtu.be/-PV1JqV3blY 29. Eucledian Space & Minkowski Spacetime β–Ί https://youtu.be/N18Ld-cA25s 30. Spacetime Diagrams β–Ί https://youtu.be/1de6GiqcCUc 31. Four Vectors in Relativity β–Ί https://youtu.be/PulFmdtzmAU 32. Doppler Effect using 4-vectors β–Ί https://youtu.be/Dyxy9FO_P9Q 33. Compton Effect using 4-vectors β–Ί https://youtu.be/LumTSpb6Z28 34. Particle Decay using 4-vectors β–Ί https://youtu.be/P9iPvI6Q1Yc 35. (SHORTS) Does Light experience time β–Ί https://youtu.be/0BBaPM1p1Ok 36. (SHORTS) Light for moving observer β–Ί https://youtu.be/tR5w11FgsW4 37. (SHORTS) Nothing can travel faster than light β–Ί https://youtu.be/XrfHGPeBw1Q 38. (SHORTS) What is farther away β–Ί https://youtu.be/klbalBRtEhE

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Time Dilation? - Thought Experiment (Proof) | NatokHD